Zilber's skew-field lemma

TL;DR

This paper revisits Zilber's early model-theoretic algebra result on definability in Schur's lemma, expanding it within a broader context and connecting it to ongoing research with Wagner.

Contribution

It extends Zilber's original definability result in model-theoretic algebra to a more general setting and relates it to current research collaborations.

Findings

Broader context for Zilber's definability result

Connections to ongoing research with Wagner

Enhanced understanding of Schur's lemma in model theory

Abstract

We revisit one of Zilber's early results in model-theoretic algebra, viz. definability in Schur's lemma. This takes place in a broader context than the original version from the seventies. The present exposition contains results extracted from more general research in progress with Frank O. Wagner.